@olivermsun: The 4^x and 7^x will be bigger, but I am lost at the next step.
@flyingpig: Am I allowed to take the natural log of the function? Won't that change the limit?
Homework Statement
lim n->infinity (4^x + 7^x)^(1/x)
Homework Equations
Not applicable (?)
The Attempt at a Solution
Tried taking "plugging" infinity for n but I keep getting 1, is this right?
Seems too easy to be just 1?
Thank you.
Homework Statement
The molecular weight of a monoprotic acid HX was to be determined. A sample of 15.126 grams of HX was dissolved in distilled water and the volume were brought to exactly 250mL in a volumetric flask. Several 50mL portions of this solution were titrated against NaOH solution...
How would I include the kinetic energy?
Would I approach it as this?
GPE = gravitational potential energy
KE = kinetic energy
GPEfinal + KEfinal = GPEinitial + KEinitial + Workof external force ?
Homework Statement
A 62kg satellite orbits the Earth with a radius of 3.3*10^7 m. A net external force acts on the satellite to an orbit of 7.7*10^6 m, what work must the external force do?
Homework Equations
W = integral of F with respect to d
The Attempt at a Solution
Integrate...
Homework Statement
A planet has a radius of 500km, and the acceleration due to gravity on the surface is 3.00 m/ s^2. An object is thrown up with an initial velocity of 1000 m/s. What is the maximum height the object will go? (Note: acceleration due to gravity is not constant).
So my teacher...
Homework Statement
16 students took a test. Their average score was 77. At least how many more students must take the test to raise the average to up 84, if the maximum score possible on the test is 88?Homework Equations
Average = Total / Number of peopleThe Attempt at a Solution
I have...
Homework Statement
There are two uniform disks. Disk 1 has radius of R, a rotational inertia of I. Disk 2 has radius of 2R, what is the rotational inertia of Disk2 in term of I? The disks are rotating about their center axis.
Homework Equations
I = m * r ^ 2
Density = Mass / Area...
Wait, I forgot that a finger like an index finger is making a fulcrum at a distance d1 from your thumb, so your thumb is applying the force downward for the torque. The mass is at d2 from the fulcrum.
Like a ruler or a meter stick. Except the distance is d. You're holding the stick at the end without the weight. The weight is on the stick. You're applying a force with your hand to create a torque that is equal but opposite to the torque created by gravity on the other end so the stick would...
My best advice would be not to use the formula sheet at all. Just remember these two equations:
velocity final = velocity intial + acceleration * time
displacement = velocity_initial * time + (1/2)acceleration * time ^ 2
You can use them simultaneously to solve any kinematic problem.